{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Wavelet estimation for well ties"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "_This Jupyter Notebook accompanies the Geophysical Tutorial from_ The Leading Edge _June 2016 edition, entitled [**Wavelet estimation for well ties**](http://library.seg.org/doi/abs/10.1190/tle35060541.1?af=R). You can play with all of the examples in this tutorial yourself in the notebook and data at https://github.com/seg. Please refer to the tutorial in the January 2016 issue for help getting started._\n",
    "\n",
    "<hr />"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's import a number of Python libraries that we'll use throughout the tutorial. If you don't already have `bruges`, you may need to \n",
    "\n",
    "`pip install bruges`\n",
    "\n",
    "installing it into your Python environment, and then re-open this notebook.\n",
    "\n",
    "https://github.com/agile-geoscience/bruges"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from matplotlib import pyplot as plt\n",
    "from bruges.filters import ricker, rotate_phase\n",
    "from scipy import linalg as la\n",
    "from numpy.linalg import lstsq\n",
    "\n",
    "from sklearn import linear_model\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Read in the data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<code>r</code> is the reflection coefficient series (in the time domain), <code>s</code> is the seismic trace, <code>dt</code> is the sample rate (in seconds), and <code>t</code> is the travel-time basis for both series."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "r = np.load(\"rpp.npy\")\n",
    "s = np.load(\"seismic.npy\")\n",
    "dt = .002  # sample rate in seconds\n",
    "t = np.arange(s.size) * dt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot the reflectivity and the seismic trace side by side."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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hAX379uXbb7/FbrdTUlKidxGbCz8/P1NNwGJmTz/9NKGhocyePZurr75adRyn6S2YG/Tc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\nqwuuxo7QbQ4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11225e390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig01 = plt.figure(figsize=(3,8))\n",
    "\n",
    "# Reflectivity track\n",
    "ax = fig01.add_subplot(121)\n",
    "ax.plot(r, t, 'k')\n",
    "ax.set_xticks([])\n",
    "ax.set_xlim(-0.5,0.5)\n",
    "ax.set_ylim(1.5,0)\n",
    "ax.set_ylabel('two-way time (s)')\n",
    "\n",
    "# Seismic track\n",
    "ax2 = fig01.add_subplot(122)\n",
    "ax2.plot(s, t, 'k')\n",
    "ax2.fill_betweenx(t, s, 0, s > 0, color='k', alpha=1.0)\n",
    "ax2.set_ylim(1.5,0)\n",
    "ax2.set_xlim(-0.25,0.25)\n",
    "ax2.set_xticks([])\n",
    "ax2.set_yticks([])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Compute the spectrum of the seismic trace."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "freqs = [5, 80, 130, 160]\n",
    "c = 1.0\n",
    "points = c*np.array([-50,-5,-5,-50])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "amp_spec = np.abs(np.fft.rfft(s))\n",
    "f = np.fft.rfftfreq(len(s), d=dt)\n",
    "P = 20 * np.log10(amp_spec)   #Power in Decibel Scale"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x1143883c8>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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P03ENcjkt8G1Kd5VyG7fRSCPf4BssbVhKs50qplAMIJRFouiQLXdtcRoixtraNz9s+U8L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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112255e80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig02 = plt.figure()\n",
    "ax = fig02.add_subplot(111)\n",
    "ax.plot(f, P,'m')\n",
    "ax.plot(freqs, points, 'ko-', lw=2, zorder=2, ms=6)\n",
    "for fr in freqs:\n",
    "    ax.text(fr,1.20*points[0], fr, ha='center', va='top', fontsize=15)\n",
    "ax.set_xlabel('frequency (Hz)', fontsize=14)\n",
    "ax.set_ylabel('power (dB)', fontsize=14)\n",
    "\n",
    "# Uncomment this next line if you want to save the figure\n",
    "# fig02.savefig('figure_1.png', dpi=500)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x1144132b0>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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6TNNu+XpHhbWyWW7KKIPYYreyFu+TGss2EEsxLuzSyBZLoPjJBUAsNE4eWDSCY1QYpwnF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\nJMGSkJCQkDBU/H+tf2qG61bYNgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x114388d30>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "phase_spec = np.angle(np.fft.rfft(s))\n",
    "plt.plot(f, phase_spec, 'm')\n",
    "plt.yticks([-np.pi, -np.pi/2, 0, np.pi/2, np.pi],\n",
    "           [r'$-\\pi$', r'$-\\pi/2$', r'$0$', r'$+\\pi/2$', r'$+\\pi$'])\n",
    "plt.xlabel('frequency (Hz)', fontsize=14)\n",
    "plt.ylabel('phase', fontsize=14)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Make a set of points corresponding to an Ormsby Bandpass filter"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from bruges.filters.wavelets import ormsby, ricker"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Bruges has a function for creating an Ormsby wavelet. We need to pass in the the <code>duration</code>, the sample rate <code>dt</code> and the four bandpass frequencies, <code>freqs</code> as a list."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "duration = 0.256 # seconds\n",
    "orms = ormsby(duration, dt=0.002, f=freqs)\n",
    "tw = np.arange(-len(orms)//2,len(orms)//2,1)*dt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's plot the Ormsby wavelet in the time domain."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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2+WV0IwLl5ZCVFZ31KxVNoVTpT8deT/9U7F3yDvE+fub92ypoe5I7jYu7UOOy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\npZRSKglowldKKaWSwP8DEJFjq/Ff0Z0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1149d34a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig03 =plt.figure(figsize=(8,3))\n",
    "ax = fig03.add_subplot(111)\n",
    "ax.plot(tw, orms, 'blue', lw=2, alpha=0.75, \n",
    "        label='Ormsby (%i-%i-%i-%i Hz)' %(freqs[0],freqs[1],freqs[2],freqs[3]))\n",
    "ax.legend(loc=1)\n",
    "ax.set_xlim(-0.064,0.064)\n",
    "ax.set_xlabel('time (s)', fontsize=14)\n",
    "ax.set_ylabel('amplitude', fontsize=14)\n",
    "ax.grid()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Wavelet estimation by autocorrelation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If we assume the earth’s reflectivity spectrum to be flat, then the shape of the spectra can be attributed to the shape of the wavelet. By doing an autocorrelation of the trace, that is, correlating the trace with itself, we get a zero-phase signal from the amplitude spectrum of the trace."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "dw = 64 # number of samples to display on either side of zero\n",
    "acorr = np.correlate(s, s, mode='same')\n",
    "w1 = acorr[len(s)//2-dw//2:len(s)//2+dw//2]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's compare the autocorrleation of the trace with the Ormsby wavelet that we just made."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We'll need a function to normalize a seismic trace."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def norm(data):\n",
    "    return data/np.amax(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<bound method Figure.tight_layout of <matplotlib.figure.Figure object at 0x114d307f0>>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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/uHLlSrW3rc2hcKHcORRMNG4cgE4Hly+noObNUShqH5VRFOoChRby6wP59ukO\nCCHuFkJECSH+FEJMs1Hu30IIoxCik73aNlFbfMy1FSUf29QG+ZjiE5o2bYqrqysdOnRASmlxul17\nY5psydIcCnC9fAICrq0iWWLyPYVCUUuoTBDiz8BY4JWraSmEcACmATvt0RkhhA74EM16kQQcEkJ8\nL6WMKlPOHZgMVP9TT6H4C1LSogDQo0cPfvvtN3799Vf6969eT2FioqSo6FKFLQoBAQHmkQ9JSdCq\nVeXaa9y4sRpbr1BUkMaNG1f6mMpYFF4CHhdCbAdc0AIYTwL/Asqf07NidAXOSCnjpZRFwFrgAQvl\n3gDmAgV2arcUtcHHXJtR8rFNTcvHaDQSFxcHaDEKoCkKAAcPHqz2WRpjYtKQ0oCfn7d5gaGSlJWP\nv/81i0JVJl2Ki4ur8Aq1hw4dQq/XM27cOHPe1q1b0ev1hIeH1/gKumpTW3VvpmdDZaiwoiClPAnc\nCuxDW7SpDlogY0cpZXSlW7ZMEFByku+Eq3lmhBAdgGAp5Q92alOh+FuRlJREQUEB9erVw8PDA4DA\nwEBCQ0PJzc3l2LFj1dp+fLw2eqFxY+urRpbk2uyMKdXuejAFdJoCPOGa1cXalMIKxT+dSs1/IKVM\nAWaWW7DqWLIfmuOghWZfXAA8Us4xAIwdO5bQ0FAAvL296dChg/lrxuQntZQu6UOtSPl/WlrJp3bL\nJzY2loyMjFIjDiIiIvDz8yMuLo59+/aRlZVVLe137aonPT0FgyEDozGvVPvW5OPj40NxcRb5+Rmc\nO5cH1K0W+UgpzUNEHRwciIiIQK/XExISQmZmJpcvX6awsBBnZ+d/9PVT29NKPvaRz9GjR8nMzAQo\n38pgy0QB3FnRzR4mEaA7sLVEejowrUTaE7gIxACxQB6a1aGThbpkVfnpp5+qfOw/ASUf29S0fJYv\nXy71er38+OOPS+X/8ccfUq/XyxEjRkij0VgtbZ85I2Xr1qtlQIBeLl682GIZS/IZMmS09PbWy3vv\nja2WfkkpZWxsrNTr9fLBBx+UxcXFpfaNGTNG6vV6+eeff1Zb+xWlpq+f2o6Sj22qKp+r70yL7+by\nLAoRaF/0pq9209d92TSAQzl1VYRDQDMhRGMgGRgOmJcMk1JeARqY0kKIn4DnpJRH7NC2GZPWpbCM\nko9talo+JedQKEnr1q3x8vIyz9JYlaCm8khOtj3iASzLR5tLIYHk5AsUFYXi5GT3rpmtCd27d0en\nK+11bdoBFxqpAAAgAElEQVS0KefPnyc2Nta8+FBNUdPXT21Hycc21SGf8mIU6qO9mOsDg4DTwMNA\ns6vbw0AUcL89OiOlLAYmocVARAJrpZSnhBCzhBCWlospqcQoFAquH/FgQqfT0a1bN6D6Zmm8dEkL\nSnS2MtmSNQID/XFy0pSMtLRq6Zr5nE2BnSVRcQoKhXVsKgpSyjTThjbS4Fkp5WopZczVbTUwBXjT\nXh2SUm6VUraUUjaXUs65mjdTSrnZQtk+UsrD9mrbREkfj+J6lHxsU5PyKSgoIDExEZ1OZ9FiYAri\nqy5FITVVUxScnKwrCpbkExAQUK2KQmZmJidPnsTR0ZHbbrvtuv0m60ttUBTU/WUbJR/bVId8KjM8\nsg1aPEBZEoFKjnxWKBTVQXx8PFJKGjVqhJMF+71plsbIyEguX75s9/ZTUyWFhSk4OVVsDgUT/v4m\ni8IFUlPt3i0OHDiAlJIOHTrg6up63X5lUVAorFMZRSESmCmEqGvKuPr79av7/jYoH5htlHxsU5Py\nsRafYKLkLI0HDhywe/tJSVeQsgAPDzfc3NwslrEkn2sWhQvVYlEwWVBKDossScOGDXFxcSEtLc08\nIqSmUPeXbZR8bFMTMQolmQD0BhKFEBFCiAg0C0Ofq/sUCkUNYy0+oSQmH311LBKVmKjNodCwYcWt\nCVC9FgWDwcChQ4cA64qCEKJWuR8UitpEhRUFKeUhoAnakMXDwJGrv5tc3fe3QfnAbKPkY5ualE/J\nNR6sUZ2zNKakaIpCSIj1QEZL8qlXrx7OzjoMhjQuXCiya5+OHj1KXl4eTZs2tekOqS2Kgrq/bKPk\nY5vqkE9lJ1zKBT61ey8UCoVdqIhFwTRLY1xcHMeOHaNz5852aTsvD7Kz0xECAgJ8K3Wsg4MDvr7e\nxMenk5iYQYlR0DeMyXJiabRDSVScgkJhmQorCkKIIbb2Syk33Hh3agfKB2YbJR/b1JR8Ll++THp6\nOnXq1Cl3aOLtt99unqXRXopCWhoYDJk4OYGvr4/VctbkU6+eN5DOhQuXsZeiIEvMxlhRRcFklakp\n1P1lGyUf29R0jMJ6K9u6q5tCoahBSgYylreaoslX/+uvv5pmMr1hSioK3t7elT7e31875uLFTLv0\nB7SpaVNSUvD29qZ169Y2y5ZUFOwlE4Xi70BlYhR0JTfAGegG7EGbxtkuCCHuFkJECSH+FEJMs7B/\nqhAiUghxVAixXQjRyF5tm1A+MNso+dimpuRTkfgEE61bt8bV1ZXk5GSuXLlil/ZTU68pCl5eXlbL\nWZNP/freCAHZ2Znk5VksUmmiorQV6jt16nTdbIxl8fb2xtvbm9zcXC5cuGCfDlQBdX/ZRsnHNjU9\nj0IppJSGq0GMrwCL7dEZIYQO+BAYALQFRgghys7RcBjoLKXsAHwD/J892lYo/upUJD7BhE6no169\negCk2Wk8omZRuFxli4KPjzdOTpqyYa8hkunp6QA0aFAxV4aKU1AorqfKikIJMoEwO9QD0BU4I6WM\nl1IWAWuBB0oWkFLullLmX03up8wy1PZA+cBso+Rjm5qST3lzKJTFz88PuPYyvVFKWhRsKQrW5OPl\n5XVVUbhsN0XBpASZzrU8akOcgrq/bKPkY5vqkE9lghk7lc0CAoFpaEMl7UEQcL5EOgFNebDGY8AW\nO7WtUPxlkVJWyvUA4OurjUywr0Wh6jEK3t7XLAr2mkuhqoqCsigoFNeojEXhN7TVHX8r8Xsj2qqR\nj9upP5YisCxGFQkhRgOdqQbXg/KB2UbJxzY1IZ+UlBTy8/Px9fW1GR9QEtPL016KwqVL0ux6qEqM\nwjVFIaPGLAq1YS4FdX/ZRsnHNjU9j0JZe6YRuFTCDWAPEoCQEulgIKlsISFEP+Bl4M6rLgqLjB07\nltDQUEB7CHXo0MFsljEJU6VV+u+QXr9+PRkZGeYFjypyfEpKCqC9TO3RnxMncgAjXl7u7N27t9LH\nR0dH4+QEOTmX2bcvggYNblw+JrfK6dOnSU9PL7d8jx49EEJw/Phxdu7cSd++fW+ofZVW6dqaPnr0\nKJmZ2gijuLg4bCKlrNCGNrLB0UK+I9oLu8J12WjDATgLNEYbVXEUaF2mTMerZcLKqUsqFP8UVq5c\nKfV6vfzvf/9b4WO2b98u9Xq9DA8Pv+H2jUYp77wzXnp76+Xw4aOrVEd8fLxs314vGzQYJWfPvuEu\nSaPRKAcMGCD1er3Mycmp8HGjRo2Ser1eRkdH33gnFIq/CFffmRbfp5VxPfwEWJpuzevqvhtGSlkM\nTAK2oS00tVZKeUoIMUsIMehqsXmAG7BOCHFECPGdPdpWKP7KVGbEgwl7BjPm5kJubiY6Hfj6Vsz1\nURZ7xyjk5uZSUFBAnTp1LK4YaQ0Vp6BQlKYyioLAcryAH5Bjn+6AlHKrlLKllLK5lHLO1byZUsrN\nV3/fJaUMlFJ2klJ2lFI+aK+2TZjMNArLKPnYpibkU9lARrBvMKM24kGLT/DxsR3IaE0+Hh4eODvr\nMBpzuHjxxtegqGx8gomajlNQ95dtlHxsUx3yKTdGQQix8epPCXwhhCgosdsBuAXYZ/eeKRSKClFU\nVMT58+cRQtC4ceMKH2fPYMaKDo20hRACPz9PIJMLFy4jpR/lTDBpk6oqCsqioFCUpiLBjKaniAAy\ngJJzphUCe4Eldu5XjWIK+FBYRsnHNjdbPvHx8RiNRoKDg3FxcanwcW5ubjg7O5Ofn09ubm6lzPNl\n0YZGZlRIUbAlHz8/b3S6THJzM8nJ8cPdvcpdMrtUTJaTilLTcymo+8s2Sj62qQ75lKsoSCnHAQgh\n4oD5Ukq7uRkUCsWNY/ryDQur3Lxn2he8H8nJyaSnp9+QolDS9VBViwKAj48PTk5xFBVpQyRvRFGo\nqkUhKCgIZ2dnLl68SHZ2Nu430gmF4m9AhYdHSilnVWdHahMRERFKa7WBko91zpw5w4YNGwgNDeXK\nlSvXbU2bNuWVV14pd9GmylCV+AQTvr6+ZkUhODi4yn0wTbbk5la+omDr+jHNzlhcfJnUVKiEJ8VC\nnzRFobIWBZ1OR2hoKH/++SexsbHceuutVe9EGS5cuMCsWbMoLi7G09Pzus3Ly4ucnBweeOCB8iv7\nh6KeP7apDvnYVBSEEMeBXlLKDCHECaxMfgQgpWxn154pFBVASmnXl+6NsGHDBhYtWkRGRgY+PpaX\nWY6JiWHgwIF07NjRbu1WdurmktgroNEeMQpQeuTDjYZOmFwPlbUogKZ0/fnnn8TExNhVUVi/fj2n\nTp2yWaawsJA2bdrQvHlzu7VbVWrT/aWoOcqzKHwDmIIX11dzX2oNfwVttaCggHnz5nH58mWeeuop\nmjVrVu1tXrp0iVdeeQUvLy8CAgJo1arsel32x2AwsGXLFs6dO2f+Ks/KyjL/zcrKokePHoSHh+Pg\n4FDt/bHGl19+yaeffgrA4MGDqV+/Pl5eXnh4eJi/FH/++We+++47tmzZUi2KQlUsCvYKaDRZFBwd\nbc/KCLbvL3sOkayq6wGqJ07BYDCwbds2AF599VU8PDyuszidPn2akydPMnXqVObOnUvbtm3t1n5l\nSUlJYerUqaSnp5uvY9NmSnfu3Nk8yVd1YjQa2b59O19++SUtW7bkzjvvLHc10BtFSsmOHTv4+uuv\nGTBgAP/+97+rtT17cdNjFEq6G/5JrofaTl5eHi+//DLHjh0D4Mknn2To0KGMHTuWOnXqVEub+fn5\nzJgxg7NnzwLw+++/o9frGT9+PEFBdl+Xy8ySJUv4+uuvbZbZu3cvH3/8MRMnTqy2flhDSsny5ctZ\nuXIlQgief/557r33XotlAwIC+O6779i9ezfPPvssbm5uN9x+VlYWqampuLi40LBhwwofd+QIrFgB\ncXH2URTsFaNgUhTy8+1jUSgshLlzfenUCcaNg4CAih1bHUMk9+3bZ3Y/9enTx+KXusFg4K233iIi\nIoIXXniBt99+265KZUXJy8tjxowZpWbvtHSNrF27lgULFtChQ4dq6YeUkoMHD/Lpp5+a/xfx8fH4\n+vry5JNPVkubAAkJCSxYsIDDhw8DcPbsWXJzc3n44Yerrc3aTGWmcP7HUFkfT35+Pvv27SMtLY37\n77+/UpHnlSU3N5dp06bxxx9/4Ofnx+23387mzZv56quv+Omnn5gyZQo9evSwa5tSSubMmcOZM2do\n2LAh/v7+REZGEhERwZ49e7jvvvt45JFHbugFYYmTJ0+ybt06hBA8+uij1KtXr9TXjIeHB/Hx8bz0\n0kusX7+epk2bcs8999i1D7aQUvLRRx+xbt06dDodL7/8Mv369bN6/QQGBtKxY0eOHDnCrl27uO++\n+0rUpU1aVFndwfTF26RJkwqZiM+cgSVL4NAhLZ2W5oeb241NuiQlpKbKCrseKhKjkJ192S4WhcxM\n0On82LYNdu2CBx+E0aOhvOUwSg6RrKz5XUrIzgYPj9L5P/zwAwD33HOP1focHR3p2bMnzs7ObNu2\njenTpzN79my6detW4fZvFCkl77zzDjExMQQHB7Nw4UKKi4vNljyTNe/YsWPs2LGDefPm8dlnn9n9\nI+X06dN88sknHDmirTnYoEED7r77bj788EPWrl1LaGgoAwYMsGubBoOBL7/8klWrVlFUVISnpyf9\n+vXj22+/5fPPP6eoqIhHH320Wt0xSUlJ7Nixgw4dOnDrrbdWuq2aiFGwGZdQEnvFKAgh7gYWok0G\ntUxKObfMfmdgJdqCUKnAf6SU5+zRdmUwGAwcPHiQnTt38ssvv1BQoHlotmzZwsyZMys1nr2iZGVl\n8dJLLxEVFUWDBg147733CAoK4t577+Xdd9/lzJkzvPLKK/Tq1YvJkydXyeRqieXLl7N7925cXV15\n++23iY2NZfr06SxfvpytW7fy3Xff8eOPPzJ8+HCGDRtmlwdGYWEhc+fORUrJiBEjGD16tMVyvr6+\nTJkyhfnz5/Pee+/RqFEjbrnllhtuvzyklCxcuJCNGzfi6OjI66+/zh133FHucQMHDuTIkSNs2bLF\nrCgUFsKMGfD779CpEwwYAHfeCRXRN03+7vJcT8nJsGwZ7NyppV1dtZfllSu+5ObemEXhyhUoKMjG\nwaEYd3dXnJycqlyXvWIUCgoKyM7OJj/fEQcHT5o2hdhYWL8efvgBhg+HoUPB2qXq4+ODj48PGRkZ\nJCQk0KhRo3LbvHQJtm2DrVshIQGefFJrBzT5Hjx4EEdHR/r162ezHgcHB6ZPn46LiwubNm3i1Vdf\nrfD1ZQ9WrFjBnj17cHNz4+233zY/Rxo0aFCq3N13301MTAwxMTEsXbqUSZMm2aX9pKQkli5dyk8/\naRP+enh4MHr0aB588EGcnZ3NL9L58+cTFBRkt/v9+PHjvPfee8THxwMwYMAAJkyYgJeXF23btuWt\nt97iiy++oKioiCeffLJalIVdu3bx7rvvkpubC0D9+vXp06cPffv2pVmzZjUWLyK0KZ6t7BRiZkUr\nsodrQgihA/4E+qItBnUIGC6ljCpRZgJwq5TyaSHEf4DBUsrhFuqSts6tKhiNRo4dO8bOnTv5+eef\nycrKMu9r06YNV65cISEhARcXF6ZOnWpXbffKlSu88MILnDlzhoCAABYsWEBACTtqcXExGzZs4LPP\nPiM/Px9XV1eeeOIJ7r///hu6uHbt2sUbb7yBEII5c+bQtWvpVb9jY2P59NNP2b9/PwANGzbk448/\nxqPs51QlWbJkCWvWrCEkJIQlS5bg7Oxss/yiRYvYsGED3t7efPLJJ9c91OxFWhrExRWzefM8IiK2\n4ezsXKkvvoKCAoYMGUJubi6ff/45ISGhzJ4Nu3eXLufqCno93H033HILViceevnll9m/fz8zZsyw\n+ALKzISVK2HTJjAYwNERBg/Wvqo3boRFi86QkfEEPXs24bPPPqukNDRiYmDUqATi4sbQp09DVq9e\nXaV6QDMrjxw5lujoYPT6VaxdW7V6kpOTGTlyJNHR9QkL+5ply8Bo1KwpBw9qZXx94eGH4d57NbmU\nZdasWURERPD8888zaNCg6wsABQWwd6+mHPz+u2ZNKMlLL8E998CaNWtYsmQJd955J7NmVexRWdZi\nNWHCK7Ro0ZfmzaFu3cpIo+Ls3r2b8PBwhBC888475V7XZ86c4amnnkJKyQcffHDDL+3Dhw8zbdo0\nDAYDTk5OPPTQQ4wcOfK650nJ+/2jjz4q9SysLDk5OSxevNhs8QkODua55567zuXz888/M3v2bIqL\nixkyZAiTJk2y24u7oKCADz/8kM2bNwPQoUMHkpKSuHjxorlMcHAwffv2pW/fvhVSXCuLEAIppcUT\nqnCMwk2iK3BGShkPIIRYCzwARJUo8wBgUmDWAx9aq2zGjBkMHjyYzp0739A/VErJ/v37Wbx4MQkJ\nCeZ8k6+xT58+BAYGkpeXx4IFC9i+fTtz5szh8OHDTJkyhbo3eFdnZmby/PPPExMTQ1BQEO+99951\nL0IHBweGDh1Kr169eP/999m3bx8LFy4kMzOTRx55pErtRkVFMXeuZtCZOHHidUoCaCbvd955h2PH\njrFgwQLi4+OZP3+++WFTFU6fPs3atWsRQvDSSy+VqyQAPP3008TFxXH48GFeffVVFi1adMMuoMJC\nzVR/8uS1LTk5n/Pn55KTE0GzZnV4773K+ZBdXFzo27cvmzZt4ocftlBYOIHduzXF4J13ID5ee+mc\nPKl9+f7wAwQFaQrD0KGlrQzFxcUcP34cgPbt21/XVnKy9lWblaUpGgMGaH56f39tf8uW4OTkd8MW\nBXuNeADN9eDoqMU7pKVpL96qXEbp6ekUF0NxsR8uLtowSwcHmDtXi8/49FOIioKFCzUlbf58KBsb\n16FDB/Mqe2UVheRkWLNGc2dc/fjD0RF69tT+V+fPw3//q9Xr5SXZsmULoFmUKooQggkTJuDiUpd3\n313JE0+8RVBQNvXq3U/TpoI2bTBvISFVk1NJzp49yzvvvAPAU089VSHlt3nz5owcOZIvvviCuXPn\nsnTp0irfd5cvX+btt9/GYDCg1+uZMGGCVYX/6aef5ty5c/z222/MmDGDRYsWVWkekIKCAqZNm0Zk\nZCSOjo6MGjWKkSNHWnzm3HnnncyePZuZM2eyYcMGDAYDU6ZMuWFlIT4+ntmzZxMTE4OTkxMTJ07k\n/vvvByAyMpKdO3cSERFBQkICK1asYMWKFXTv3p2JEyfe0JDmylDpGAUhRBjQ+mrylJQy2o79CQLO\nl0gnoCkPFstIKYuFEJlCCF8p5XVO1o0b9/H99/vw82tM586DadOmPzpdXQwGKC6m1N+SvxMTI2jX\nTo+7O+TlnWPXrv8SHX0QBwdo0CCAnj37cccdfQkNDcXBQXtAZGSAwVCXhx56mbp1O/LFF++zatU2\nvv02im7dZuLg0BQHB3By0sqX/OvkpPkzfXxKb97eYDCk8dxzzxMdHU/9+o0YM2YBv//uR3q61mZ2\ntvZVU1io/S0oaEB+/ps4Oe3kxIm3ef315ezf78c99wwiOBiCg6F+fdsPFSkhNvYSzzwzg0uXCmnb\ndhBxcUN48UVISYGUlAhCQ/XUrUuJrT1hYe/w++/jWbfuZwyGLfTsObBUGWdn7atOSk3WUmppo1Fr\nVytTxKxZczEYjAwbNrRU1LfRCDk52ovPtGVnQ34+GAwOdO48k4MHJ/DLL2cYOXIu9977Gh4egrAw\nCAuz7ZeWUnv4nzwJp05pf8+e1a6Hq9caGRnbuXhxCUZjKsXFrhgM89izpy1t2pR+gZfnIxw4cCCb\nNm1i2bJtuLs/jouLI2+/De3aadt998G5c/Djj9qWmKi5DeLiNBeF6X9nCrBq2LAh9evXL9VGcTG8\n9ZYmo3bt4NlnoeygiBYtwNHRm7w8wZUrVzAYDDha+rQuB5Oi4OhYMUXBlnw8PT1xcBBAFoWFBi5f\ndqQqukd6ejq5ueDo6EuzZpqSYKJjR1i8GPbs0RSFI0fgyy9h1KjSdZgC9I4ePVoqTiErC6ZMAdPH\nXqtWmnLQp8+1uIRu3TRrzurV8OKLf1BUlEBIiF+FRgiUlE9ysuDIkXGAC1IuITV1IZmZu8jNnUhM\nTAuufoDi5gatW19THFq3Bk9P621Iqd3LZ89qyumVK5msXDmDrKwCOnYcgLPzUH74QXtG1a2rnZdp\nc3fX8kzX4cMPP8yePXuJiYlj4cLPGTr0KXJytOeREJoCVnYD7b7Ny9O23FzJ55/P49SpNAID2+Hh\n8RrLlumu7rtWLi8PrlyJoFMnPYGBM5HyaY4ejeHFF99i/vw3qFvX9kiIoiJIStLuqXPnilm6dDan\nT0fi4NCALl3msX9/Y44c0e7nkpunp2aB8vG5ndGj32Lp0lfZsGEjhYVFTJ36Apcv68jM1J7JJbfc\nXK1Ng+H6vwBpaT9y6NAChCggMDCYp5+eSbt2zcjM1J53DRrcwrBht/DAA5M4duwIe/fu5MCB3Wzf\nvp/t23+je/d/06XLGIqKXMnO1p6H0dERNG+ux9ER8/vJ9NdWni0q/FQQQvgBy4D7AeO1bLEZeFRK\neeMTxmvTRJelrP+gbBlri1VRXDye1NTvSEyM5/jxheh0n+LnN5B69R7ExcV6pH5GBkRF5ZCSsoJL\nlzYAxeh0bgQEjCU7+0G2bXPk6ignK6dwD87ObUhKCic5OY6zZycQFDQZP797K6V95ufHExv7KgUF\nCdSpE4oQ7zFnjuXx+df3oR/16uWTkPAua9e+x/793nh79wS0F7bpq9KSwpSfn8/JkzPIy0vH3b0D\n588/S2LitX5rSpGldgPR6aaQkPA2H330Abt2taNOncppvMnJX3DhQizOzkGsW/cYP/ygPZTy87Wb\nzrY3yZOiordISZlIUtJPnDoVhr//tae/nx80a4ZZcfD01L4qTdaCy5fLSFFoL1df30hOnvyQgoIo\nWrWCZs2a06rVNLZsCePbb+G33+CVV7QXRkVo2bIlDg6hxMTE0aTJft58sydlDQIhIfD44/DYY5qp\nfNYsLb6gQwcwfdwePXoUwGLE+ZdfQmQk1KsHb755fWAdaIpTQICOyEhf8vPTSE9Pr5LLpqRFobyh\nkeWh0+nw9PTEyekyxcVXSEvzrZKikJaWRm6uZjFp2fL6/UJocSCurvDii/D559Cli6Y8mQgJCcHb\n25u0tDQSExMJDg5GSpgzR1MSWrWCadMgNNRyHx57DNLT4ZNPtnD5MgwZMqDCQ3ilhP/9T7NK5OdD\nmzYjefrpeuzYsZiMjOPk5T1Fw4YDCAoaT1ycH5cuadfhb79dqyM4uLTFITFRUwyiozV3kckSYjQa\niI5+nZyci7i6tuH8+ed4/33bzykHB+2a0ukgJ8eJ9PRpnDnzNCdOfM033/TCza21zePLkpq6iYSE\nfeh0bvj6zmDTJusvfNMLGNwpKHib+PiniYnZx44dSwgLe9L84iv5InR01BSXCxc02UopSUhYSFra\nPhwcPGjefB6pqY0rGEDblby8OcTEvMIff2zh44/zaNToJRwcKm45Li7OJyFhIRkZPwLg49OPwsKp\nvP++NauIA3AbcBtG4xNkZCwhPX0r0dFr+eqrbQQGPo6v7wCEEGRkaB8VltvNxcGh8paXynw+LAWa\nAXcAB67mdQM+QlvrYUilW7+eBCCkRDoYLVahJOeBRkCSEMIB8JRSZliqzN19OyEhrcnMPEdqajSF\nhYk4OKwnM3M9Dg4OeHv707btHfj7h3DlygV8fRvQo8dA9u3LZc2aAeTnZ1O/vi/Nmg3C3b0lxcXu\n+Pk5UlwMCQkRGI3g56fHYNC+snU6aNFCj58fZGTE0r37CNLTj3P8+P/IzX2VunXXMnXq+7i6+vHb\nbxEUFUHbtnoKC+HAgQiysqBePT0ZGbB377tER3+FEG7UrRtGaOiDeHkdo21bPT4+cOlSBB4e0L27\nHhcXiIyMwNkZevTQU6cOHD4cQXGxO5GR4/juu8+5dGkqPj4T8PJ6lMxMOH48AgAfHz0AGRla2tv7\nTuLi5pCdfRB393oMHz6L0FBH0tIi8PWFe+/V4+SkJyIigoICuOUWPXl5Wv8LCiAs7C7WrTvAoUPr\nycycwNCh31JQ4MiZMxEYDBAUpMfBQbPa6HQQEqJHp4Nz5yJIT0/k8uXVODlBgwa9ycz8FSH05OZe\n619wsB4PD8jKiqBuXWjTRjvf+PgIHB2hZUs9587N4KuvJpKd/X/06xeK0fgvDh6MICMD0tL0HDhw\nrb6S5+/uDr166WnTBnJzI3B3T+fMmT/46aefyMjIwMvLi+nTX6F///7s3r0bf//z7NihJz4eRo6M\noH9/ePNNPXq93ryCm+nLsGR6715BdHRjioqOEBa2hTvu6GmzfPfu0K9fBKtWwaJFWv/OnYvg+++/\nB66ZyE3lT5+GBQsiKC6G+fM1eVmrv2VLPT//7MvFi2fZsmWL2U1lqz9l02lpcOXKr+h0GWaLgq3y\n5cnH29ub4uI40tO3kpo6krCwyvUH4JdffiE9PQMfH01RsFV+yBBYtiyCSZNg0ybtfjLtN8l21apV\n9OjRg0uX9OzbBwUFEdx1F4SG2u7P009345NPfiI/P4Pvv/fm0UehQQPb/WnXTs+oURGcPKldn336\nQOfOEbi6OjN27BesWrWKpUuXEhn5JenpEYwcOZI6dfxJSnKmTh09J0/Cr79GcOIEJCTo2bbN8vXu\n6QnduvUiNvZ9YmN/pn59L8aPn02dOs5ERWnXT0iIdv9FRUWQmwvu7nqysrTnXWrqtfqKilLw8elA\ndvYRMjLmEhAwirp1nQgK0iOldr0ajdCwoR6jUbv/nZ2152VBQTxff/0mbm6FjBz5Oh07NiA6Wtvf\nvbseV1c4cSICFxft/szK0rNlSwRpaVr7x47NYvPm8SQlfYSLSwh+fvdYPF8AX189gYFw9uzL5OVt\npXFjf6ZNewchYjEaY+nUSU9BAfzyi/a8atNGT36+Js+Sz+dTp65QVPRvEhI2kJkZQW7uPtq0Gcdt\nt9pel3oAACAASURBVA3H2/va87lLFz1OTnDyZAQODtC1q57Y2ON88MFzODmlEhYWQL9+z5KXV4fs\n7IN4eWn3U3R0BEJAYKD2vExN1Y4PDtbj4OBDYGBXCgsDuHTpIKmpkWRmTsfFZTFPPjmX0NBe/Pzz\nBtLTL+LuXp+UlHiiovaRmXkBJ6e6TJ26lVOnfiYu7ii5uZkYjZCaGoctbAYzliooRC7QV0r5a5n8\nHsAOKeUNDwq/+uI/jRbMmAwcBEZIKU+VKPM0cMvVYMbhwIMVDWY8c+YM3377LTt37qSwsNBiH+rU\nqUN+fj4At956K5MnT77hGdJ27tzJggULyMnJwd3dncmTJ3PXXXdZtC4UFhayaNEic1BLnz79eP75\n53B1rVqcg5SSBQsWsGnTJtzd3Vm0aBH164dy6ZL2VXVN+5YcO3aQ5cs/5vz5ONzdXVm8eHGVRm/k\n5OQwfvx4UlJSGDFiBE888US5xxgMBiZMmMDZs2cZPHgwzzzzDEaj9uWQm6tZFdzcrvcjW8MUPKbT\n6ejfvz+jRo0GgoiOxrxduaJ9QZq+ugICNJlcuXKFdevW8dVXX1FUVISzszP/+c9/GDFixHXxJgUF\nmltg3Tot3aqV9iXZtKnmPir7Lz5+HF54AXJzM8nI+DcBAZJ169ZVaJrh//s/LWahUSNYvLiY//zn\nfnJzc/nqq6/MloCCAs0Scf48/PvfUN7UEqtXwyuvvIyz834+//wNevbsWTEBl2DGDPj66w/x8PiG\n6dMnMGzYsErXUZJnn32WzZuP4+PzHrNnd6QSbn0z8+bN4913t9CgwfNs2jTI6lc/aDJ78knNBP/g\ng5qbxsT333/PwoUL6du3Lw899CqTJ2vWtzffhH/9q/x+bNmyhTlz5pGZeSu+vh/QuDEsWnS9hcdo\n1EziJ07Axx9r16a7O0ydqrk0ypKYmMjHH3/M3r17AW1EwuOPP45er8fR0RGDQRvlYbKWnT+vxbqE\nhZmsapLo6N9Zvnw5kZGRODs788EHH9DSkvnFAkVFmgvGaNTuyzp1oLCwgPHjx5OQkMCoUaMYP358\nBeopYsKECURHRzNgwACmT59eofbLsmnTJt577z2MRujR405GjXqcgIBgs7W0uFh7zvn7w9atWlkh\nBG+++Sa33357ldoEiI6O5803w4mLi8PFxYXnnnuO/v37Wyybn5/PkiVL+Pbbb5FS0rRpU1577f/b\nO/M4Kcpr73/PLA4DCCPIrmwiuORFokZCErUNDALqdUGDiWBYjOj7KhFxQc01w40a8YYLcQUjCm7B\nKBqXqyyGLQoa8TLIogN4HVBkG2aGbWCYnj7vH9U9NEN3TXdPd09Pc76fT32mlqeqnvpNVdep55zn\nPP9OV7ebsw4CSaFmzJhRE2eUk5NT0wuvNjk5Obz00kvHuCrBPZgxGkNhM3CFqn5Ra/05wLuq2jn0\nntHh7x75Z450j3xURCYBn6nqeyKSA7wE/BBnZMvrVbU4xHHC9nqoqqpi69atbNmypWbavHkzW7Zs\n4dChQ6gqDz74IJdcckncolp37drFlClT+PRTpzGmX79+TJgw4agujN9//z0FBQVs3LiR7Oxsxo0b\nx2WXReeuCIXP5+P3v/89H330EW3atOGpp5466kYpKipi+vTpNU3Z7du3Z+LEiSED5CCyfrpr165l\n3LhxAEyZMqXOgL8XX3yRF154gQ4dOjBz5sx6B4CqKtOnT+eNN97A5/ORkZFBfn4+I0aMCJkgyuv1\n8tlnnzFv3jyWL1+O1+9b6d+/PzfffHOdTfKrVh1pki4rW8JJJzkxLl26OM2+Xbs6Ps5p05w4iyuu\ngNLSf+fjjz9i7NixXH/9MbbuMVRWwq23Oi+APn2KKCy8hY4dj+5lMG0avP22c74ZMxw3kxsrV8Kw\nYX+isvK/efrp8TVBVNFwyy0wf/5DtGnzDx566L6wP5QB6rp/CgoKmDNnKU2aPMidd15CLDluxo+f\nyKxZn9Kz58OsWPGTOg3MTZscbb1e5/8YiOPbvHkzI0eOpGXL1uTkvM7OnRKRARZg3LhxrFmzhttu\nu4f33htMcTGcfTYMHeoYJps3O/EoW7YcceeVlS0hP9/Dvfc6riM3Vq1axVNPPcXXXzuhYnl5eQwY\nMIBBgwaFHCRMVVm5ciWzZs1i/fr1gBMXcvfdd8dkJNZm3bp13H777YgIzzzzDD2DfTkhePrpp3n9\n9dfp2LEjf/nLXyIKSAx3/8yZM4dZs2ZRWVlJZmZmyPwuH330EQ8++CCq6tqbJRoOHTrE1KlTa7Ju\nXnbZZdx+++1HBXWuXr2ayZMns23bNjIzM7nhhhsYMWJETDFBoTh48CCvvPIKr732Grt27eK0006j\nc+fOx0xt27YN+z6Jl6EwBrgBGKGqW/3rOgGzgTmq+lwsF5goYuke6QSslbFq1Sr69+8f9zqpKgsW\nLOCJJ56oaV247bbbGDhwIB999BGTJ0/mwIEDdOjQgUmTJsU113tlZSV33XUXa9eupWvXrjz++OPs\n37+f5557jkWLFgFOf+URI0Zw1VVXufaFjzShx6xZs5g9ezYnn3wyM2fOpEWI6Cqv18tHH33Eww8/\njNfr5b/+67/imonu+++/5+WXX2b+/PkhDYZvvvmGefPmsXDhQsrKHA+WiPCjH/2IG2+8MaoUugcO\nwEsvwfz5S/B6PezfH7rchRdCQQF88slyHnjgATp37sysWbMiMgg3b3a+fr/99m9kZT3DDTcM5p57\n7gHg009h4kSnlWj6dOfrsS727oULLnienTtf4j//80bGjBkV8fUGuPZa+Ne/7ubUU1cyderkkL1j\ngqnr/pk2bRozZ76N6u2MGXMN48dHXSWuuuo3LF26icsue4aXX44seOSvf3V6Q7RqBc8/78RwqCrX\nXHMNq1aV06HDS/TpcwpPPBG6O2VtvvvuO0aMGEGTJk1488032b8/l9tuOxIEWZu2bR2jslWrJUyc\n6Im4F4PP52PevHm8/vrrFAc5p3v06MGgQYPo378/LVu2PMZAaNmyJddffz1XXnllvQ3zYJ566ine\neOMNunbtyv333x+2///KlSu5++67ycjI4Mknn+TMMyOLa3C7f0pKSnjhhRf44IMPUFVyc3P55S9/\nyXXXXcfGjRu56667OHz4MKNGjYprlkVV5f333+fPf/4zVVVV9OjRg4KCAlq1alXTigBOT7mJEycm\nbByPiooKlixZElXvmgDxMhTWAF2BJsBW/+pOwCHgqIToqTBAVCLyKMSLkpISpkyZUpN7oHv37jXp\nSS+88ELuvffeuKT3rc2+ffu4/fbb2bx5M506dWLHjh119leuD9XV1fz2t79l3bp1XHjhhUyaNClw\nM7J+/XoWLlzI4sWL2bt3LwBXXHEFd955Z9zOH8y2bdt46aWXagwGEeHUU09ly5Yjubo6d+7MoEGD\nGDhwYL2TVak6QVeBr8bA1KYNTJjgfOlXV1fzi1/8gtLSUp588smIjZIFC+A3v7mffftWMG3afdx4\n40D27IHRo53gueBEP5Fw0UVvs2bNNG699XIeeWRCVNfp88GAAfDVV7+hZ89NPPvsjDq/IuvihRde\n4IknXqSi4kaGDh3Fww9Hf4wf/WgomzaVcs89f+O++45tZg2Fz+c09X/xhWPMTZrkuI6GDZvEggVL\n6NFjAu+8czkdOkRWh0AukMGDjxhzW7bA1KlOEGWXLk7LT+fOzlSPUb4B52W1YcMG5s2bxz/+8Y+a\nPC+ZmZl07NiRb791OpQlykAIUFlZyejRo/n+eye8rEuXLuTn55Ofn1/TMldeXs6YMWMoLS1lzJgx\nYROqxUpxcTHPPvssK1Y4nvLWrVvXJOG64oorGD9+fEKSF23atImCggK2bt1K06ZNadGiBdu3bycz\nM5Phw4czfPjwuLUixJt4GQpJTb5UX1LZUADnoV64cCFPPPEE+/fvJzMzk7Fjx3LttdcmNPvWzp07\nue2229i1axciQn5+PmPGjElYgqJt27Zx0003UVFRwU033YTX62XhwoVs3bq1pky3bt249NJLGTp0\naMIfom3btvHyyy8zb948fD4fzZo1o3///gwaNIgzzjgj6ZnPZsyYwZw5c7j88suZMCGyl7TP5+Os\ns65gx44K8vNfY/bstjzyiJP4p3dv50UUzXg5o0b9k7///UEuvbQfc+Y8ElX9d+92WhQ2bLiOnj1L\njoqXiJW33nqLP/7xcUpL/40BA8YzfXp0+/t8Pk47bQDl5fDqqwsYPDjye2r7difGpKLCSZbUrRsM\nG/Z3tmz5M0OH9ue5534X0XGqq6sZNmwYu3fv5vHHH4/rCJSRUFVVxfLly5k3bx6ffvopqppwAyGY\nnTt3MmfOHBYtWsSeoO5E55xzTk0L6ooVK+jduzdTp05N2ABPhYWFTJ8+naKiIgB+9rOfMWnSpIQO\nKHXgwAEee+wxli1bBsBpp53GxIkTkzJwX31wMxRQ1bScnEuLjcWLF8e8b7SUlJTo888/r19++WXS\nzvntt9/qjBkzdOPGjTHtH60+CxcuVI/Hc9Q0dOhQffrpp3XTpk3q8/liqkd92L59u65cuVIrKyvj\nfuxo9Nm8ebN6PB4dMmSIHjx4MKJ9ioqK9KKLPNqt2y/V41EdNUrV41EdMkR1+/bo6/vYY+s0L8+j\n/frdHPW+RUWqF1/s044dB6jH49FDhw7VuU9d+ixatEh/8hOPdunyoA4dGnWVtKSkRNu08ejJJ1+l\nxcXR7z9/vqPn4MGqw4ap9u37jfbo4dyzkd6rn3zyiXo8Hh0+fHjU93e8f39KSkr0008/1YqKirge\nNxKqqqp0+fLlOmnSJB04cOBRvwGXX3657tixI+pjRquPz+fTxYsX6+zZsyO6P+OBz+fTefPm6dy5\nc7Wqqiop5wwQ6/3jf2eGfJ/G9PkmIk1wgg2DDY6KWI51vNO6dWtGjYreL1wfTjnllIh6IsSLAQMG\nsHbtWj788EN++tOfkp+fz7nnnpvwYWLdaNeuHe0CySQakM6dO3P22Wezbt06li1bVmcgIDhfSRkZ\n8Itf9KGw0AluBCdaP5ZL6tPHcbPs2BF9KpSSEvD5KsjK8tKkSZO4DIgWPN5DaanjEojmVikuLqWq\nCpo3b0UsmW7z82H5cidj48GD0Lt3F7Zvb3lUPoW6iGQAqGTRunXruI37Ei1ZWVn069ePfv36UVFR\nwdKlS1m4cCFFRUXce++9CWvJDEZEEjL0cl3njPeAVQ1JNAmXugCPA5cAoRzokWUSaQQk+6ZqbMSi\nzx133MEdd9wR/8qkINHqM3jwYNatW8f7778fsaEA8POf9+GSS+Cxx5w4gfz8WGoL553ndM0sLy+j\nqkrJzo78xbZ7d3RZGaFufVq2bOnP6LenJtYjmvdcYaFj8LRt2zoqAyOACNx5J2zY4LggCgqEZ5/t\nw9KlSyksLKzTUCgvL2f58uUxvyzS9fenadOmDB48uN4jvKarPvEiEfpE8xi9DHQEbgcuA4bUmgzD\niIFLLrmEnJwcVq9efdRYIqEIDEwGTjKgSy+FuXOd3g6xfri2apVNs2Yn4vP5WLt2T907BBHIynjC\nCfUf5yHASSc52UczMsoBoh5Fcv16Z4dTT607N0U4WrRwsjW++ip07Hh0Oue6WLBgAV6vl759+zbY\nl7xhxJNoDIUfAjeq6mxVnaeq84OnRFWwIQhkSTNCY/q4E60+TZs2Jd/fHPDSSy+5lv3666+pqKig\nQ4cONc22eXn1HxDo5JOdl+qqVdG9lZ0WhT1RtSjUpU+gG63qXlR9EabVPcLGjc41dO9ev5d0Ts6R\nnggBQ2H16tWBGKiQVFZW8tprrwHUDCMeLfZ8uWP6uJMIfaIxFFYDkfUzMgwjKm644QYyMzNZuHDh\nUV02a+M2vkN96NTJeamuWROdoRDPkSMDZGZmcuKJJ5KdrXi9e6M2FLZsccaHO+OM+H3Nd+nShZYt\nW1JSUlLT7S8Ub7/9NqWlpfTs2ZN+/frF7fyG0ZBEYyjcDPxeRK4UkdNEpHPwVN+KiMhJIrJARIpE\nZL6IHDO6jIicIyLLRWSNiBSKSP1yxYbBfGDumD7uxKJP+/btGTJkCKrKrFmzwpZLlKHQrZvzUt2w\nIfGGQiT6BAc0RuN6KCuD8vJSMjLg9NNjdz3URkTqdD8cPHiQV199FYDRo0fHHMRoz5c7po87DR2j\nkAG0Bd4CNuAkWfoGKKZWwqUYmYgzZkQvYBFwX4gyB3AyQ/4fYDAwTURcBlM1jMZDIBnL4sWLaxJw\nBRMcnxAuvXas9OzpGApbtpSGGRk0NIFgxniMHBlMsKEQTYvChg1QVbWbpk3h5JPjGx8Q0DycofDm\nm2+yZ88ezjrrrDqzUxpGYyIaQ2E2sAu4AmfUyAv804/8f+vLlf5zBM51Ve0CqrpJVb/2z28DdpIA\nd4j5wNwxfdyJVZ+2bdvWjLUQqlXh66+/rknxHe+unR06tCInBw4dKg07RG1tvF4oL4++RSESffLy\n8sjKir5FoajIMRRyc4l7IGFwi0LtOIUDBw7UxCbUpzUB7PmqC9PHnYaOUTgDuEVV/1tVV6rq58FT\nHOrSVlV3AKjqduowAETkAiA7YDgYRjrwq1/9ihNOOIF//vOfbNy48ahtiXI7ALRq1YrcXOcl609i\nVyelTigA2dlO74RAb4V4EGhRqK7eE1WLwldfKV6v06IQyYic0dC1a9ewcQpz585l37599O7dm3PP\nPTeu5zWMhiaahEv/ArrhuB1iQkQWAsGfQgIoEFle1CPH6QC8CIxwKzdy5MiaITzz8vLo06dPROPZ\nezyeOse7P56XTZ/E6nPVVVcxY8YMCgoKakaGXLJkCW+//TbgNIHHu/7ffPMNqmV4vY6h0KxZ3fs7\nLQ8eMjLKKSsro6ioiL7+YRfrq8/27dupqCiraVGI9HrWrTsPVS8ZGQf55JNP4v7/Peecc1i2bBkv\nvvgi/fr1w+PxsG/fPp555hkOHjzImDFjEBF7vlL4+Ur35Uj1KSwspLzcMfKL62pGDJeysfYEDAO+\nBG7CcT2cGzxFehyX438JtPPPtwe+DFPuROBz4Jo6jhdTGkvDaGjKysp00KBB6vF4dP369aqqWl1d\nrZdddpl6PB7dtm1b3M+5ZcsWPf98j7Zt+0sdOzayfZYtc1Idn3nmL+Jer7lz56rH49EePaaqx6Ma\nSRbckhLVH/+4WFu1clInJ4I333xTPR6PPvTQQzXrnnvuOfV4PDphwoSEnNMwkgEuKZyjcT38FegF\nPAusAFYGTZ9FcZxwvAOM9M//Gni7dgERyQb+DsxW1TfjcM6QBKwvIzSmjzv11ScvL49rrrkGgOef\nfx44Ep/Qvn172rdvX98qHkPr1q1p2hSqqkrZtEkjCmgsKXE+NHy+8pp6R0Ik+gQCI7OznQRQATeH\nG8GBjIlKdFQ7n8KePXuYO3cuQNxSsdvz5Y7p404i9InGUOjmMnWPQ10mA/kiUgQMAB4FEJHzRORZ\nf5lfAD8DRorIKhH5HxFp8CGtDSPeDBs2jKZNm7Jy5UrWrFmT0PgEgNzcXHJzczjhhEoOH66oGT/C\njd27wec7hMhhcnJyaNKkSdzqEzA6srIcIySSOIVAIGMiDYVAnMKuXbvYtm0bc+bM4eDBg/Tt2zfi\nYcINo7ERsaGgqpuBrUAnoB9wcdB0UX0roqqlqjpAVXupar6qlvvXf66qN/vnX1HVHFU9V1V/6P/7\nRX3PXZuAH8cIjenjTjz0adGiBddeey3gtCok2lAQkaNaFSIJaAzOoRBN18hI9AkYCiKRp3FORouC\niNR0k1y0aBFvvfUWEL/WBLDnqy5MH3cSoU/EhoKInIETR7AMeAV4DpgF/AV4Ku41M4zjnOuuu47m\nzZtTWFjIp59+CsQ/f0IwrVq18hsKkfV8CM6hEK+sjAECxwu4NSJtUfB6S8nNjX+Ph2ACxtqsWbOo\nrKzkpz/9Kb169UrY+QyjoYnG9TANJ4iwJVABnAmcDxQCQ+NftYbDfGDumD7uxEuf5s2bM2zYMACq\nq6tp165dQuITArRu3ZrcXGp6PtRFcItCNF0jo4lR8Pn2oqp1tijs3u3EMYjsJicnsYZCwFirrq4G\nnLwJ8cSeL3dMH3caOkbhR8BDqnoA8AFZqvo/wD3AlLjXzDAMrrnmmppBkhLldggQcD14vaV88w1U\nVbmXj9X1EAlZWVk0b96crCwf1dX72LXLvXzAsGnWzLEoEjlqY7du3Wr+Jx6Ph+7d4xGiZRipSzSG\nguC0JICTobGTf/47oEc8K9XQmA/MHdPHnXjq07RpU8aOHUtWVlbNCJOJolWrVmRkQPPmu/F6IUQW\n6RoqK2H/flCNbuRIiFyfI9kZy+psUQgYCiec4HSPSKShICIMGjSIFi1axL01Aez5qgvTx51E6BNN\nwqW1wDnA/+IkX7pXRKqB3wCb4l4zwzAAGDJkCIMHD65XWuBICLxcTzzRMRSKiiCc6z3w4j7hhOi6\nRkZDy5Ytyc7+Dq+37uyMR1wliW9RALj11lu55ZZbEv4/MYxUIJoWhYdxWhXAyaR4KrAYGAiMi3O9\nGhTzgblj+riTCH2S8UIKvFybNHG+yje45GANvLhPOKEMiM5QiFSfSEeQVHXq6vNVkplZQXZ2Ns2b\nN4+4PrGSqP+JPV/umD7uJEKfiFsUVHV+0Pz/AmeJSCugzJ/VyTCMRkzAUMjIcN7KbgGNgRd3RoaT\nECneMQpwxPWgWs7+/Y67Iyfn2HIlJc7w0jk5u8nIcFwo9qVvGPEjmhaFY/DnPkg7I8F8YO6YPu40\nVn0CPQW83lJE4Jtv4PDh0GUDLQqBPAfR9HqIJkYBICfHPZdCoOWjQwenQCJ7PCSDxnr/JAvTx50G\nzaOQaETkJBFZICJFIjJfRMJ+oojIiSLynYg8nsw6GkY607JlSzIzM6mo2EenToeprgZ/+oZjCLy0\nq6sTF6NwxFBwWi3CxSl8/LHz9+STkxOfYBjHGyljKAATgQ9VtRewCLjPpewfgCWJqoj5wNwxfdxp\nrPqISE3LwIUXOnEKU6aEfkEH1lVVOYZCNK6HaGIUADIynDiIUC0KS5fCBx9AVhb06JH4Hg/JoLHe\nP8nC9HGnofMoJJorgdn++dnAVaEKich5QFtgQZLqZRjHDYGX7E9+spvzz4c9e+APfwB/bqEanHEe\nKoFKsrOzyc3NjXtdaqdxrm2wbNsGjz3mzN96K2RnO4ZCY3c9GEaqkUqGQltV3QGgqtuBNrULiBOh\n9Cfgbo70wIg75gNzx/RxpzHrEzAUyspKeeABaN0avvgCZs8+ulxwsqW8vLyoggcj1SfQSqHquB6C\nWxS8XviP/4CKCrjwQrj6ati9Oz1cD435/kkGpo87DZ1Hod6IyEKgXfAqQHG6W0bC/wX+W1W3+n+Y\nXH+dRo4cSdeuXQHnx6xPnz41IgaaZ2zZlm35yHLga3zp0qVUV1fzu995uPNOeOKJJVRVwdixTvkN\nG5awZ88W2rZ1nq1E1Ke83GlJ8HrL2b9/CZ99Brfc4myfMGEJK1bAmWd6uPtuWLp0CatWrQIcQyFV\n9LRlW07V5cLCwppnrLi4GFdUNSUmnAGn2vnn2wNfhijzMlCMk/RpF1AOPBLmeBorixcvjnnf4wHT\nx53GrM/zzz+vHo9HZ86cWbNu1ixVj0f16qtVd+9WPXDAWe7b9xP1eDx61113RXWOSPU5fPiwejwe\nveCC/nrxxT694w5n/ccfO+fv3191/foj5UePHq0ej0eLioqiqk+q0Zjvn2Rg+rgTqz7+d2bI93Mq\nuR7eAUb6538NvF27gKoOV9WuqtoduAt4UVXvT14VDSO9CTTb7w5q5x8xAn74QydXwUMPUTPuQm5u\n9F0joyE7O5umTZuSkVFNdfV+Skpgxw549FFn+803w5lnHilfWpoewYyGkWqkkqEwGcgXkSJgAPAo\nOMGLIvJsMisSaJ4xQmP6uNOY9QllKGRkwAMPQF4erFoFTz7prG/SJLaukdHocyQ74x527XICK/ft\ng3794LrrjpTzer2Ul5cjIgnpqplMGvP9kwxMH3cSoU/KGArqJG8aoKq9VDVfVcv96z9X1ZtDlJ+t\nqmmVOtowGpqAoRD4Oj+y3jEWRGDlSmddVlb0XSOjJS8vj8xMp4tkZSWsWwdt2sDEiU5dAgR8rU75\nzITVxzCOR1LGUEglAoEfRmhMH3casz6BYMbdIZIWnH8+/OpXR5azspzeCNF+wUejT+DYzZo5hkBG\nBjz4IPhHea4hXXo8QOO+f5KB6eNOIvQxQ8EwjBoChkJZWRk+n++Y7aNGQe/eznxmZvQDQkVLoLXi\nxBMdo2TMGPjBD44tl06GgmGkGkntHtlYMB+YO6aPO41Zn6ysLFq0aMHevXspLy8/JnlRZiY8/DAs\nXw5vvOGM6pjoGAWASy4pp3dvJ2dCKAKuknRIttSY759kYPq4k9YxCoZhpAahAhqDad4cBg6E/ftj\ncz1Ew5EeFeVcdNHRcQnBBOqaDoaCYaQaZiiEwHxg7pg+7jR2fcIFNNYmOIAwGqLRJ+B6CJwrHOnk\nemjs90+iMX3csRgFwzASjltAY4DDhw9z8OBBsrKyaNq0acLqEjBC9uzZ41ounQwFw0g1zFAIgfnA\n3DF93Gns+tTleoAjX/gtW7aMapwHiC1GoayszLVcOiVbauz3T6IxfdyxGAXDMBJOJK6HWN0O0RI4\nfl2uh3QKZjSMVCNlDAUROUlEFohIkYjMF5GQWVxE5FT/9vUislZEOse7LuYDc8f0caex6xOJ66E+\nhkIsMQp79uwJjOFyDKqaVoZCY79/Eo3p4066xyhMBD5U1V7AIuC+MOVeBCar6lnABcDOJNXPMI4L\nUqlFIScnhyZNmuD1eqmoqAhZZu/evXi9Xpo1a0ZOTk5C62MYxyOpZChcCQRGvZ8NXFW7gIicCWSq\n6iIAVa1Q1UPxroj5wNwxfdxp7PpE0qIQCC6MxVCIVp9AF8lw7od0C2Rs7PdPojF93En3GIW2C90W\nZwAADe1JREFUqroDQFW3A21ClOkJ7BGRuSLyuYhMlmgjqQzDcCU4mDFcc3+yWhSg7i6S6RTIaBip\nSFIzM4rIQqBd8CpAgd9FeIgs4GdAH+Bb4G84Q1O/EKrwyJEj6dq1K+D8oPXp06fG2gr4cUItB/t4\nIil/vC2bPumtT25uLhUVFVRWVrJ//35OPPHEY8p//vnnlJWV1RgKidQnLy+PsrIyFi9ezNlnn33M\n9t27d1NWVnZUF8pU0jPa5cZ+/yR62fSJjz6FhYU1xndxcTGuqGpKTMCXQDv/fHvgyxBl+gKLgpaH\nA0+EOZ7GyuLFi2Pe93jA9HEnHfQZPny4ejweLS4uDrn9/vvvV4/Ho8uWLYv62NHq8+ijj6rH49H3\n3nsv5PZXX31VPR6PPv3001HXJRVJh/snkZg+7sSqj/+dGfL9nEquh3dwWgcAfg28HaLMZ8BJIhJo\nY/w5sD7eFQlYXUZoTB930kGf9u3bAzBv3ryQ2+vjeohWH7cukocPH2bRokUAtGvX7pjtjZF0uH8S\nienjTiL0SSVDYTKQLyJFwADgUQAROU9EngVQVR9wF7BIRFb79/tLQ1TWMNKZESNGkJGRwZw5c1ix\nYsUx2xsiRiFUdsYnn3ySTZs20aFDBy699NKE18UwjkdSxlBQ1VJVHaCqvVQ1X1XL/es/V9Wbg8r9\nQ1XP8U+jVdUb77oE+3iMYzF93EkHfXr37s1NN90EwB//+Ed27Nhx1PZk5VGA8L0ePvzwQ959912y\ns7OZNGkSzZo1i7ouqUg63D+JxPRxJxH6pIyhYBhGanH99dfz4x//mH379lFQUIDX69jkVVVVVFRU\nkJmZSfPmzRNej1Cuh82bNzNlyhQAbr/9dk4//fSE18MwjlfMUAiB+cDcMX3cSRd9RIT77ruPtm3b\n8tVXXzF9+nTgiAsglnEeIHp9anePPHToEAUFBRw6dIj+/ftz+eWXR12HVCZd7p9EYfq4k+4xCoZh\npBgtWrSgoKCArKws5s6dy7Jly5IanxB8nkAa56lTp1JcXEznzp2ZMGFCTMaKYRiRY4ZCCMwH5o7p\n40666XPmmWdy6623AjB58mTWrVsHHPnSj5Zo9QkeQfKDDz5gwYIF5OTkMGnSJHJzc2OqQyqTbvdP\nvDF93LEYBcMwGoSrr76aiy66iIqKCp566ikgeS0KTZo0IScnh6qqKqZNmwbA+PHja5KpGYaRWETD\npGht7IiIpuu1GUZDcODAAW6++Wa+//57wDEexo0bl5RzDxs2jJ07nfHfhgwZwt13352U8xrG8YKI\noKoh/XjWomAYRkQ0a9aMgoICsrOzgeS1KMCRLpLdu3dPmnFiGIZDyhgKInKSiCwQkSIRmS8iIR2g\n/oGg1orIOhGZloi6mA/MHdPHnXTW5/TTT+fee++lY8eO9O3bN6ZjxKJP//796d69O5MmTUr7oaTT\n+f6JB6aPO+keozAR+FBVewGLgPtqFxCRfsBPVPUHwA+AC0TkonhXpLCwMN6HTCtMH3fSXZ/+/fvz\nyiuv0KtXr5j2j0Wf6667jpkzZ3LKKafEdM7GRLrfP/XF9HEnEfqkkqFwJTDbPz8buCpEGQWaiEgT\nIBdnNMkdIcrVi3DD2RoOpo87po87po87po87po87idAnlQyFtqq6A0BVtwNtahdQ1U+AJcA2YCsw\nX1WLkllJwzAMwzieyErmyURkIRA8xJvgtBL8LsL9TwPOADr69/1QROar6kfxrGedY3Mf55g+7pg+\n7pg+7pg+7pg+7iRCn5TpHikiXwIeVd0hIu2Bxap6Zq0ydwE5qvqwf/nfgYOq+qcQx0uNCzMMwzCM\nRkC47pFJbVGog3eAkTjDTf8aeDtEmS3ATSLyKI7b5GJgaqiDhbtgwzAMwzAiJ5VaFFoBfwNOxTEI\nrlPVchE5DxirqjeLSAbwNHAR4AM+UFXLvGIYhmEYCSJlDAXDMAzDMFKPVOr1kFSiSPD0axHZ4C93\nY9D6bBGZ4V+/XkSuTl7tE0999Qna/o6IfJH4GieX+ugjIrki8p6IfCkia0TkkeTWPjGIyCAR+cp/\nvfeG2H6CiMwRkY0iskJEOgdtu8+//ksRGZjcmieHWPURkQEislJEVovIZyJySfJrn3jqc//4t3cW\nkX0icmfyap086vl89RaR5f5khatF5ISoTq6qx+WEEwtxj3/+XuDREGVOAr4GWgJ5gXn/tgLgP4LK\ntmroa0olffzbrwZeBr5o6OtJJX1wcoBc7C+TBSwDLm3oa6qnHhnAJqALkA0UAmfUKnMr8LR/fhgw\nxz9/FrDKr0VX/3Gkoa8phfQ5B2jvnz8b+K6hryeV9Ana/gbwGnBnQ19PKukDZAKrgR/4l0+K9vk6\nblsUiCzB06XAAlXdo6rlwAJgkH/baOCPgYKqWprAujYE9dJHRJoB44GHklDXhiBmfVT1oKouBVBV\nL/A/QGNPOXgBsFFVN6tqFTAHR6NggjV7A/i5f/7fcH7UvKpaDGz0Hy+diEWf/gCqulqd3DKo6jog\nR0Syk1PtpBGzPgAiciWOIb4uCXVtCOrzfA0EVqvqWgBVLVO/xRApx7OhUGeCJ6AT8G3Q8lagU1Az\n80Mi8rmIvCYiofZvzMSsj3/+D8CfgIOJrGQDUl99ABCRPOAK4B8JqmeyqH2t31HrWoPLqGo1sMcf\nxFynTmlALPqU+/WpQUSuBVb5XxbpRMz6iEhT4B5gEk5+nXSkPs9XTwARmed3YUXdASCVukfGnfom\neCL0Tac4up0C/FNVJ4jIeGAKcIyPPpVJlD4icg7QQ1XvFJGuYcqlPAm8fwLHzwReBab5v6QbM67X\nWkeZSPZt7MSij3D0/XI2TitmfnyrlhLUR59JwFRVrRCRcMdq7NRHnyzgp8D5wCHgHyKyUlUXR3ry\ntDYUVDXsAyUiO0SknR5J8LQzRLHvAE/Q8ik4iaB2i8gBVf27f/3rOK6IRkWi9AH6AeeKyP/i+NPa\nisgiVf35sYdIXRKoT4BngSJVfSIe9W1gvgOCg8tOAb6vVeZbnO7P3/uNpJaqWiYi3/nXu+3b2IlF\nnxaqWgYgIqcAbwIj0sCoDEXM+ohIX2CoiDyG43+vFpGDqvp0MiqeJOqjz3fA0qB76X3gXI7+LXLl\neHY9BBI8QfgET/OBfBFpKSIn4Vjy8/3b3g2KPh4ArE9gXRuCmPVR1emqeoqqdgd+hvMybFRGQgTU\n6/4RkYdwHuTxSahrMvgM6CEiXfwR1dfjaBTMuzhaAVyHM0os/nLX+6O2uwE9gH8loc7JJGZ9/O6p\n94CJ6ox3k47ErI+qXqSq3f2/N9OAR9LMSID6PV/zgd4i0kREsnASFUb3vmroaM6GmoBWwIdAEbAQ\nyPOvPw94NqjcSJzgqg3AjUHrOwNLcaJPFwKnNPQ1pZI+Qdu7kJ69HmLWB8eX6MMJvFqFE8w4uqGv\nKQ6aDPLrsRHnpQZOs/Dl/vkcnKRqG4FPgK5B+96HE9X9JTCwoa8llfQBHgD2+e+TwP1yckNfT6ro\nU+sYvycNez3UVx/gV8Ba4Avgj9Ge2xIuGYZhGIYRluPZ9WAYhmEYRh2YoWAYhmEYRljMUDAMwzAM\nIyxmKBiGYRiGERYzFAzDMAzDCIsZCoZhGIZhhMUMBcMwDMMwwmKGgmEYYfFngvOJyLkNWIdFIjI8\nwrL/KSJ/TnSdDON4whIuGYYBgIgsBtao6rigdYIzMmaJqvoaoE6XAVOBXhrBj5WInIwz3PA5mp5j\nIhhG0rEWBcMwwqIOOxvCSPAzDpgViZEAoKolwALg1oTWyjCOI8xQMAwDEXkBZ7CY/+d3NVSLSOfa\nrgcRudi/PMg/tn2FiCwTkU7+bYUisk9E3vUPhBV8jlEisk5EDorIVyJyRx11OhlnwLV3aq0fKyJF\n/uPsFJEPRCT4t+wd4Jfx0MUwjDQfZtowjIj5LdATZ1Cm+3DGst+FM/hZqK/5Apyv/b3AX4HXgIPA\nTTgDXr3hL/NbABH5jX/5NpxBjX4A/EVEDmv4kf5+BhzCGTwL/3HOA54ERgAfA3lA7ZFJ/wV0EpFu\nqvpNZJdvGEY4zFAwDANV3Ssih4EKVd0VWO+EKCAhdvmdqi73l5kOPA6cq6qr/etmA0ODywP3qOpb\n/uXNIjIZ+H9AOEOhC7CzltuhM7AfeFdVDwDfAmtq7fe9v85dATMUDKOemKFgGEa0KEe/nHf4/66t\nta4t1LgQTgVm+I2KAFmEbq0IkIvTohDMQmAzUCwi83HiEd5U1f1BZQ4G7W8YRj0xQ8EwjFioCppX\nAFWtrrUuEDcQ+DsWWBHFOUqAo+IcVHW/P17iIiAfmAg8IiLnq+p2f7FW/r+7MAyj3lgwo2EYAQ4D\nmfE+qKruBLYCPVT1f2tPLruuAtqISKvglarqU9UlqvoAcA7QDLg8qMgPcK6ltkvCMIwYsBYFwzAC\nFAMXiEgXYL+q7g5TLlTMQl0UAI+LyB7gfSAbOBfopKqPhtlnFbATJ6jxHajJq3AasAwoxQlkbI4T\nhBngQuCfqlrbbWEYRgxYi4JhGAH+hPMlvh7YKSKd/etrxxFEnaVNVWcCo4HhQCHOi/43QNgWBX/u\nhhf8+wQoB67CiVX4ErgTGKOqHweV+SXwbLR1NAwjNJaZ0TCMlEVE2uB0j7wgkkyLIjIEeAzo3YBJ\nogwjrbAWBcMwUhZ/V83ROL0mIqEpMMqMBMOIH9aiYBiGYRhGWKxFwTAMwzCMsJihYBiGYRhGWMxQ\nMAzDMAwjLGYoGIZhGIYRFjMUDMMwDMMIixkKhmEYhmGE5f8DHh0eesCnbJUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x114d307f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig04 =plt.figure(figsize=(8,3))\n",
    "ax = fig04.add_axes([0.1, 0.15, 0.8, 0.7])\n",
    "ax.plot(tw, orms, 'blue', lw=2, alpha=0.75, \n",
    "         label='Ormsby (%i-%i-%i-%i Hz)' %(freqs[0],freqs[1],freqs[2],freqs[3]))\n",
    "ax.plot(np.arange(0,len(w1))*dt-0.064, norm(w1), 'k', lw=2, alpha=0.75,\n",
    "         label='Autocorrelation')\n",
    "ax.legend(loc=1)\n",
    "ax.set_xlim(-0.064,0.064)\n",
    "ax.set_xlabel('time (s)', fontsize=14)\n",
    "ax.set_ylabel('amplitude', fontsize=14)\n",
    "ax.grid()\n",
    "fig04.tight_layout\n",
    "\n",
    "# Uncomment this next line if you want to save the figure\n",
    "# fig04.savefig('figure_2.png', dpi=500)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Wavelet estimation by spectral division"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's write a function for doing spectral division. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def spectral_division(reflectivity, data):\n",
    "    \n",
    "    seis_fft = np.fft.fft(data)\n",
    "    ref_fft = np.fft.fft(reflectivity)\n",
    "\n",
    "    wavelet_spec = seis_fft / ref_fft\n",
    "    wavelet_div = np.fft.ifft(wavelet_spec)\n",
    "    \n",
    "    return wavelet_div\n",
    "    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now let's make a plot of this signal obtained by doing spectral division."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "spec_div = spectral_division(r, s)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0, 0.256)"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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42UMMLo1yHL3ppps8H3aqqj169FBAp06dGrHNeRgFXziO+RR8Qb744osK6F13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\ngWEYhoGJgWEYhgH8f+xCYg+LLdFTAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x115c2d4a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig05 = plt.figure()\n",
    "ax = fig05.add_subplot(111)\n",
    "ax.plot(t, np.real(spec_div), 'k', lw=2)\n",
    "ax.set_xlim([0,0.256])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Notice how it has some high energy values at the start but then reverberates, and has noise for a long time. Alternately, lets try to the naive solution via least squares."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def wigner(rpp, seismic):\n",
    "    opConvolve = la.toeplitz(rpp)\n",
    "    wavelet = lstsq(opConvolve, seismic)[0]\n",
    "    return wavelet     "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "wigner_wave = wigner(r, s)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-1, 1)"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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6vIjOna9fvz6g4+Tl5RkTtHSr1263G8MOA1kHyRPdsZqQkCAZGRkltr388ssC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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x115d634e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig06 = plt.figure()\n",
    "ax = fig06.add_subplot(111)\n",
    "ax.plot(t, wigner_wave, 'k', lw=2)\n",
    "ax.set_xlim([0,0.128])\n",
    "ax.set_ylim([-1,1])\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Both methods don't return meaningful or useful wavelets, which basically shows that migrated seismic does not adhere to a convolutional model. Let's check the Spectra"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "Y1 = 20 * np.log10(np.abs(np.fft.rfft(s))) \n",
    "R1 = 20 * np.log10(np.abs(np.fft.rfft(r))) \n",
    "W1 = 20 * np.log10(np.abs(np.abs(np.fft.rfft(s) / np.fft.rfft(r)))) \n",
    "W2 = 20 * np.log10(np.fft.rfft(wigner_wave)) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[]"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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RXl5eMBqNSExMRHBwMHbv3o2JEyeiadOmPKVv5cqVWL9+PUJCQqDX65Gamope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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x115c2da58>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig07 = plt.figure(figsize=(15,3))\n",
    "ax = fig07.add_axes([0.1, 0.15, 0.25, 0.7])\n",
    "ax.plot(f,Y1, 'k', lw=1)\n",
    "ax.set_title('data', fontsize=14)\n",
    "ax.set_ylabel('power (dB)', fontsize=14)\n",
    "ax.set_xlabel('frequency (Hz)', fontsize=14)\n",
    "ax.set_ylim(-80,10)\n",
    "\n",
    "ax2 = fig07.add_axes([0.1 + 1*0.8/3, 0.15, 0.25, 0.7])\n",
    "ax2.plot(f,R1, 'k', lw=1)\n",
    "ax2.set_title('reflectivity', fontsize=14)\n",
    "ax2.set_xlabel('frequency (Hz)', fontsize=14)\n",
    "ax2.set_ylim(-80,10)\n",
    "ax2.set_yticklabels([])\n",
    "\n",
    "ax3 = fig07.add_axes([0.1 + 2*0.8/3, 0.15, 0.25, 0.7])\n",
    "ax3.plot(f,W1, 'k', lw=1)\n",
    "# ax3.plot(X,W2, 'dark blue', lw=1)\n",
    "ax3.set_title(' \"wavelet\" ', fontsize=14)\n",
    "ax3.set_xlabel('frequency (Hz)', fontsize=14)\n",
    "ax3.set_ylim(-80,10)\n",
    "ax3.set_yticklabels([])\n",
    "\n",
    "# Uncomment this next line if you want to save the figure\n",
    "# fig07.savefig('figure_3.png', dpi=500)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The spectrum of the wavelet is not ideal. It has tons of noise, even though it has the same basic shape as the data. \n",
    "\n",
    "Let's use some optimization tricks. Regularize the least squares problem and bias it towards an answer we want. Start with something simple, like an L2 norm. Basically we know a priori that we don't want ton of large spikes in our wavelet and an L2 norm will penalize these. Note ridge regression is just least-squares with an L2 penalty."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Wavelet estimation by least squares"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "clf = linear_model.Ridge(alpha = 0.5, fit_intercept=False)\n",
    "R = la.toeplitz(r)\n",
    "clf.fit(R, s)\n",
    "wavelet = clf.coef_\n",
    "\n",
    "Y2 = 20* np.log10(np.abs(np.fft.rfft(wavelet)))  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x115bff748>"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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bNxLcEbGRBvu5I4eDISKOcQK8BRxY71XPnj0jWkPXX6Lp7KCqJtjxDJCvxV6k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\n4KpVqwaMDi5Xrhy7du3ye84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9e7cuXLhQJ06c6AhSsOYTjhkzRhcsWKDLly/XNWvW6MqV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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x116000978>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig08 = plt.figure(figsize = (10,3))\n",
    "ax = fig08.add_subplot(121)\n",
    "ax.plot(t, wavelet, 'k', lw=2)\n",
    "ax.set_xlim([0,0.128])\n",
    "ax.set_title('wavelet', fontsize=14)\n",
    "ax.set_ylabel('amplitude', fontsize=14)\n",
    "ax.set_xlabel('time (s)', fontsize=14)\n",
    "\n",
    "# Check the spectra\n",
    "ax2 = fig08.add_subplot(122)\n",
    "ax2.plot(f,Y2, 'k', lw=2)\n",
    "ax2.set_title('spectrum of wavelet', fontsize=14)\n",
    "ax2.set_ylabel('power (dB)', fontsize=14)\n",
    "ax2.set_xlabel('frequency (Hz)', fontsize=14)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x114b80080>"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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GK6FMNoaInL77yB5IhmEyMroXTXqPpk6dCgCYM2eO+s/X19c4LrtMkKIrRGFhYSn2QGa3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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x116003400>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# modelled seismic\n",
    "fig09 = plt.figure(figsize=(15,3))\n",
    "ax = fig09.add_subplot(111) \n",
    "ax.plot(t, np.dot(R, wavelet), 'k', lw=2)\n",
    "ax.set_title('synthetic', fontsize=14)\n",
    "ax.set_ylabel('amplitude', fontsize=14)\n",
    "ax.set_xlabel('time (s)', fontsize=14)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Hey, not bad. Looks more like wavelet! The spectra has way less variance, but doing the regularization added some noise synthetic; so it's not as good as a match to the real data. Such is life, when our model is wrong we always trade off between fitting the data and seeing what we want to see. \n",
    "\n",
    "Let's try some other tricks. We know the approximate length of the wavelet, and it definitely won't be two seconds long. Let's add a projection operator into the mix which forces all the wavelet energy to be in the first few samples."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "wavelet_size = 15 # samples\n",
    "opProj = np.zeros((r.size, r.size))\n",
    "opProj[:wavelet_size, :wavelet_size] = np.eye(wavelet_size)\n",
    "\n",
    "op  = np.dot(R, opProj)\n",
    "wavelet = lstsq(op, s)[0]\n",
    "\n",
    "Y3 = 20* np.log10(np.abs(np.fft.rfft(wavelet)))  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x117414ac8>"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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VGFMw5dipenxfmxCpKjfddBNz5syhbt26fPXVV5aglQLDhw+nefPm/PTTT7z5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\nAXElzXEcx3Ecp4D8P91QgotCofVPAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x114bb79b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig10 = plt.figure(figsize = (10,3))\n",
    "ax = fig10.add_axes([0.1, 0.15, 0.3, 0.7])\n",
    "ax.plot(t, wavelet, 'k', lw=2)\n",
    "ax.set_xlim([0,0.128])\n",
    "ax.set_title('wavelet', fontsize=14)\n",
    "ax.set_ylabel('amplitude', fontsize=14)\n",
    "ax.set_xlabel('time (s)', fontsize=14)\n",
    "\n",
    "# Check the spectra\n",
    "ax2 = fig10.add_axes([0.5, 0.15, 0.35, 0.7])\n",
    "ax2.plot(f, Y3, 'k', lw=2)\n",
    "ax2.set_title('spectrum of wavelet', fontsize=14)\n",
    "ax2.set_ylabel('power (dB)', fontsize=14)\n",
    "ax2.set_xlabel('frequency (Hz)', fontsize=14)\n",
    "\n",
    "# Uncomment this next line if you want to save the figure\n",
    "# fig10.savefig('figure_4.png', dpi=500)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Take home: the basic convolution model can't fit the data. There are multiples, processing issues, and migrations effects that aren't accounted. Because the model is wrong we are going to get a wrong answer, so we use regularization and other optimization tricks so we at least get a wrong answer that looks legit. \n",
    "\n",
    "Something else to think about:  this is synthetic data, and things are already messy and uncertain for even the simplest inversion. Things are obviously going to be total non-sense on real data. More complicated inversions like Shuey-terms, FWI, least-squares RTM...Good luck!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Create synthetics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "synth = np.dot(op, wavelet)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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H2AY+IyMDwcHBCAkJKR2GdqLp2bNnsX37dhZfqoryxJeHDSY2SlijBtHt28YuxeOCgqOE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\nxGuQHZZEIvEa/gM3rLXPmdWk+wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x117e8d128>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Params\n",
    "ylim = (0.75, 1.5)\n",
    "# N wiggles\n",
    "nwigs = 5\n",
    "gap = 0.1\n",
    "g = 0.25  # gain\n",
    "\n",
    "fig10 = plt.figure(figsize=(6,8))\n",
    "ax1 = fig10.add_subplot(141)\n",
    "ax2 = fig10.add_subplot(142)\n",
    "ax3 = fig10.add_subplot(143)\n",
    "\n",
    "# Reflectivity track\n",
    "ax1.plot(r, t, 'b')\n",
    "ax1.set_xticks([])\n",
    "ax1.set_xlim(-0.5,0.5)\n",
    "ax1.set_xticks([])\n",
    "ax1.set_xlabel('reflectivity', fontsize=14)\n",
    "ax1.xaxis.set_label_position('top') \n",
    "ax1.set_ylim(ylim[1],ylim[0])\n",
    "ax1.set_ylabel('two-way time (s)', fontsize=14)\n",
    "\n",
    "# Synthetic track\n",
    "for i in range(nwigs):\n",
    "    ax2.plot(synth+i*gap, t, 'k', lw=0.5)\n",
    "    ax2.fill_betweenx(t, synth+i*gap, i*gap,\n",
    "                      synth+i*gap > i*gap, color='k', alpha=1.0)\n",
    "ax2.set_xlim(-gap,gap*(nwigs))\n",
    "ax2.set_ylim(ylim[1],ylim[0])\n",
    "ax2.set_xticks([])\n",
    "ax2.set_yticks([])\n",
    "ax2.set_xlabel('synthetic', fontsize=14)\n",
    "ax2.xaxis.set_label_position('top') \n",
    "\n",
    "\n",
    "# Seismic track\n",
    "for i in range(nwigs):\n",
    "    ax3.plot(s+i*gap, t, 'k', lw=0.5)\n",
    "    ax3.fill_betweenx(t, s+i*gap, i*gap,\n",
    "                      s+i*gap > i*gap, color='k', alpha=1.0)\n",
    "ax3.set_xlim(-gap,gap*(nwigs))\n",
    "ax3.set_ylim(ylim[1],ylim[0])\n",
    "ax3.set_xticks([])\n",
    "ax3.set_yticks([])\n",
    "ax3.set_xlabel('data', fontsize=14)\n",
    "ax3.xaxis.set_label_position('top') \n",
    "\n",
    "# Wavelet track\n",
    "if False:\n",
    "    ax4 = fig.add_subplot(144)\n",
    "    ax4.plot(wavelet, t, 'k', lw=0.5)\n",
    "    ax4.fill_betweenx(t, wavelet, 0,\n",
    "                      wavelet > 0, color='k', alpha=1.0)\n",
    "    ax4.set_ylim(ylim[1],ylim[0])\n",
    "    ax4.set_xlim(-0.1,0.1)\n",
    "    ax4.set_xticks([])\n",
    "    ax4.set_yticks([])\n",
    "    ax4.tight_layout()\n",
    "\n",
    "# Uncomment this next line if you want to save the figure\n",
    "# fig10.savefig('figure_5.png', dpi=500)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finally, we can compute the correlation coefficient between the synthetic and the data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.81788648323700153"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.corrcoef(s,synth)[0][1]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can plot the autocorrelation of the wavelet to show its zero phase version to compare with the other zero phase wavelets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "wzeroph = norm(np.correlate(norm(wavelet), norm(wavelet), mode='same'))\n",
    "dw = 64\n",
    "wshort = wzeroph[len(wzeroph)//2-dw//2:len(wzeroph)//2+dw//2]\n",
    "tshort = np.arange(0,len(wshort),1)*dt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PolyCollection at 0x114b9ab38>"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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pGbkEQj4yTSwrEKTcKRCkZGQKhHxPOQ1kOvVUgSDlToEgJaO+vp6qqio6Ojro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\nICIiAPx/WlJDPA885q0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x117e5fcc0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(tshort, wshort,'k', lw=2)\n",
    "plt.fill_between(tshort, wshort, -0.005,\n",
    "                      wshort > -0.005, color='k', alpha=0.85)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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TWuqgqKileqfRaDxoha/RaJpE1aA7HiIiIggJMYLv5Oe3RM80Go0vWuFXQdtkzdFyMaet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\nXBX4/xz94hYwqeYzAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1159f6908>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig11 =plt.figure(figsize=(8,3))\n",
    "ax = fig11.add_subplot(111)\n",
    "ax.plot(tshort-0.064, wshort,'k', lw=2, alpha=0.5, label='estimated wavelet')\n",
    "\n",
    "ax.plot(tw, orms, 'blue', lw=2, alpha=0.5, \n",
    "         label='Ormsby (%i-%i-%i-%i Hz)' %(freqs[0],freqs[1],freqs[2],freqs[3]))\n",
    "ax.legend(loc=1)\n",
    "ax.set_xlim(-0.064,0.064)\n",
    "ax.set_xlabel('time (s)', fontsize=14)\n",
    "ax.set_ylabel('amplitude', fontsize=14)\n",
    "ax.grid()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "synth = np.convolve(norm(wzeroph),r,mode='same')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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9K7PvEoCUMRFCSG9h8vT0lDJwpclksAykymywVq1ahQULFrD5r776SsovM3/+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\nwBIREWkziAFLRESkzfB/auhzQm6FPUYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11826d0b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Params\n",
    "ylim = (0.75, 1.5)\n",
    "# N wiggles\n",
    "nwigs = 5\n",
    "gap = 0.1\n",
    "g = 0.25  # gain\n",
    "\n",
    "fig12 = plt.figure(figsize=(6,8))\n",
    "ax1 = fig12.add_subplot(141)\n",
    "ax2 = fig12.add_subplot(142)\n",
    "ax3 = fig12.add_subplot(143)\n",
    "\n",
    "# Reflectivity track\n",
    "ax1.plot(r, t, 'b')\n",
    "ax1.set_xticks([])\n",
    "ax1.set_xlim(-0.5,0.5)\n",
    "ax1.set_xticks([])\n",
    "ax1.set_xlabel('reflectivity', fontsize=14)\n",
    "ax1.xaxis.set_label_position('top') \n",
    "ax1.set_ylim(ylim[1],ylim[0])\n",
    "ax1.set_ylabel('two-way time (s)', fontsize=14)\n",
    "\n",
    "# Synthetic track\n",
    "for i in range(nwigs):\n",
    "    ax2.plot(g*synth+i*gap, t, 'k', lw=0.5)\n",
    "    ax2.fill_betweenx(t, g*synth+i*gap, i*gap,\n",
    "                      g*synth+i*gap > i*gap, color='k', alpha=1.0)\n",
    "ax2.set_xlim(-gap,gap*(nwigs))\n",
    "ax2.set_ylim(ylim[1],ylim[0])\n",
    "ax2.set_xticks([])\n",
    "ax2.set_yticks([])\n",
    "ax2.set_xlabel('synthetic', fontsize=14)\n",
    "ax2.xaxis.set_label_position('top') \n",
    "\n",
    "\n",
    "# Seismic track\n",
    "for i in range(nwigs):\n",
    "    ax3.plot(s+i*gap, t, 'k', lw=0.5)\n",
    "    ax3.fill_betweenx(t, s+i*gap, i*gap,\n",
    "                      s+i*gap > i*gap, color='k', alpha=1.0)\n",
    "ax3.set_xlim(-gap,gap*(nwigs))\n",
    "ax3.set_ylim(ylim[1],ylim[0])\n",
    "ax3.set_xticks([])\n",
    "ax3.set_yticks([])\n",
    "ax3.set_xlabel('data', fontsize=14)\n",
    "ax3.xaxis.set_label_position('top') \n",
    "\n",
    "# Wavelet track\n",
    "if False:\n",
    "    ax4 = fig12.add_subplot(144)\n",
    "    ax4.plot(wavelet, t, 'k', lw=0.5)\n",
    "    ax4.fill_betweenx(t, wavelet, 0,\n",
    "                      wavelet > 0, color='k', alpha=1.0)\n",
    "    ax4.set_ylim(ylim[1],ylim[0])\n",
    "    ax4.set_xlim(-0.1,0.1)\n",
    "    ax4.set_xticks([])\n",
    "    ax4.set_yticks([])\n",
    "    ax4.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.7282288966619177"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.corrcoef(s,synth)[0][1]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## References\n",
    "\n",
    "- Bianco, E., 2014, Geophysical tutorial: Well-tie calculus: The Leading\n",
    "Edge, 33, no. 6, 674–677, http://dx.doi.org/10.1190/tle33060674.1.\n",
    "\n",
    "\n",
    "- Brown, R. L., W. McElhattan, and D. J. Santiago, 1988, Wavelet\n",
    "estimation: An interpretive approach: The Leading Edge, 7, no.\n",
    "12, 16–19, http://dx.doi.org/10.1190/1.1439470.\n",
    "\n",
    "\n",
    "- Martin, G., R. Wiley, and K. Marfurt, 2006, Marmousi2: An elastic\n",
    "upgrade for Marmousi: The Leading Edge, 25, no. 2, 156–\n",
    "166, http://dx.doi.org/10.1190/1.2172306."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<hr />\n",
    "<img src=\"https://avatars1.githubusercontent.com/u/1692321?v=3&s=200\" style=\"float:left;\" width=\"50px\" /><p style=\"color:gray; float:left; margin-left:12px;\">Code and text © 2016 <a href=\"http://www.agilegeoscience.com/\">Agile Geoscience</a> — <a href=\"https://creativecommons.org/licenses/by/4.0/\">CC-BY</a> — Have fun!&nbsp;&nbsp;&nbsp;</p>"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python [conda env:python3]",
   "language": "python",
   "name": "conda-env-python3-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
